Finsler geometry modeling and Monte Carlo study of skyrmion shape deformation by uniaxial stress

Abstract

Skyrmions in chiral magnetic materials are topologically stable and energetically balanced spin configurations appearing under the presence of ferromagnetic interaction (FMI) and Dzyaloshinskii-Moriya interaction (DMI). Much of the current interest has focused on the effects of magneto-elastic coupling on these interactions under mechanical stimuli, such as uniaxial stresses for future applications in spintronics devices. Recent studies suggest that skyrmion shape deformations in thin films are attributed to an anisotropy in the coefficient of DMI, such that $D_x\ne D_y$, which makes the ratio $\lambda /D$ anistropic, where the coefficient of FMI $\lambda$ is isotropic. It is also possible that ${\lambda }_x\ne {\lambda }_y$ while $D$ is isotropic for $\lambda /D$ to be anisotropic. In this paper, we study this problem using a new modeling technique constructed based on Finsler geometry (FG). Two possible FG models are examined: In the first (second) model, the FG modeling prescription is applied to the FMI (DMI) Hamiltonian. We find that these two different FG models' results are consistent with the reported experimental data for skyrmion deformation. We also study responses of helical spin orders under lattice deformations corresponding to uniaxial extension/compression and find a clear difference between these two models in the stripe phase, elucidating which interaction of FMI and DMI is deformed to be anisotropic by uniaxial stresses.

arXiv comment42 pages, 23 figures

References in corpus (24)

• Skyrmion Lattice in a Chiral Magnet
• Advances in the Physics of Magnetic Skyrmions and Perspective for Technology
• Spontaneous Skyrmion Ground States in Magnetic Metals
• Theory of current-driven motion of Skyrmions and spirals in helical magnets
• Skyrmion Lattice in a Doped Semiconductor
• Multiple-q states and skyrmion lattice of the triangular-lattice Heisenberg antiferromagnet under magnetic fields
• A reversible conversion between a skyrmion and a domain-wall pair in junction geometry
• The properties of isolated chiral skyrmions in thin magnetic films
• Stabilization of Skyrmion textures by uniaxial distortions in noncentrosymmetric cubic helimagnets
• Fluctuation-induced first-order phase transition in Dzyaloshinskii-Moriya helimagnets
• Fractional antiferromagnetic skyrmion lattice induced by anisotropic couplings
• The skyrmion lattice phase in three dimensional chiral magnets from Monte Carlo simulations
• Enhanced Stability of Skyrmions in Two-Dimensional Chiral Magnets with Rashba Spin-Orbit Coupling
• Three-sublattice Skyrmion crystal in the antiferromagnetic triangular lattice
• Giant generic topological Hall resistivity of MnSi under pressure
• Uniaxial pressure dependence of magnetic order in MnSi
• Stability of skyrmion lattices and symmetries of quasi-two-dimensional chiral magnets
• Dramatic pressure-driven enhancement of bulk skyrmion stability
• Stability and Phase Transition of Skyrmion Crystals Generated by Dzyaloshinskii-Moriya Interaction
• Monte Carlo studies of a Finsler geometric surface model
• From skyrmions to Z2 vortices in distorted chiral antiferromagnets
• J-shaped stress-strain diagram of collagen fibers: Frame tension of triangulated surfaces with fixed boundaries
• Helical and skyrmion lattice phases in three-dimensional chiral magnets: Effect of anisotropic interactions
• Electromechanical properties of ferroelectric polymers: Finsler geometry modeling and a Monte Carlo study

Cited by in corpus (3)

• Stability of Skyrmion Crystal Phase in Centrosymmetric Distorted Triangular-Lattice Antiferromagnets
• Monte Carlo studies of skyrmion stabilization under geometric confinement and uniaxial strain
• Enhanced skyrmion metastability under applied strain in FeGe